What is the d/(dt)(a(t-sin(t))) ?

The d/(dt)(a(t-sin(t))) is a(1-cos(t))

What is the first d/(dt)(a(t-sin(t))) ?

The first d/(dt)(a(t-sin(t))) is a(1-cos(t))

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\frac{d}{d t} (a (t - sin (t)))

a (1 - cos (t))

Solution steps

\frac{d}{d t} (a (t - sin (t)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= a \frac{d}{d t} (t - sin (t))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= a (\frac{d t}{d t} - \frac{d}{d t} (sin (t)))

\frac{d t}{d t} = 1

\frac{d}{d t} (sin (t)) = cos (t)

= a (1 - cos (t))

\frac{7}{x}

\int_{0}^{70} 0.65 (70 - x) d x

\frac{d}{d x} (\frac{1}{12} (e^{6 x} + e^{- 6 x}))

\int (x^{2} - 4 x) d x

x \to - 3 - lim (ln (x + 3))

What is the d/(dt)(a(t-sin(t))) ?
The d/(dt)(a(t-sin(t))) is a(1-cos(t))
What is the first d/(dt)(a(t-sin(t))) ?
The first d/(dt)(a(t-sin(t))) is a(1-cos(t))